Continuous cohomology and homology of profinite groups

Marco Boggi; Ged Corob Cook

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arXiv · math/0306381

Continuous cohomology and homology of profinite groups

Marco Boggi·Ged Corob Cook

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Abstract

We develop cohomological and homological theories for a profinite group $G$ with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite $G$-modules, respectively. The standard results of group (co)homology hold for this theory: we prove versions of the Universal Coefficient Theorem, the Lyndon-Hochschild-Serre spectral sequence and Shapiro's Lemma.

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Marco Boggi, Ged Corob Cook. 2016-09-29. Continuous cohomology and homology of profinite groups. https://arxiv.org/abs/math/0306381

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